Someone suggested that it's because moderating is expensive, which is true, but IMDB has been moderating their site for a long time. I don't think the cost of standard moderation was a big part in the calculation, simply because they have been doing it successfully for years. I think they are also aware of the value of their message boards simply by tracking page hits.
Having said that, public figures are excluded from privacies generally granted to the public. There are plenty of public records of everyone that discloses their age, even though they are not a public figure. To pass a law requiring IMDB remove age disclosure with consequences is very bad law. Not only that, the people that are the "victims" have the financial ability to litigate. It's even worse if other publications like tabloids are excluded from this requirement.